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Articles 1  30 of 162
FullText Articles in Science and Mathematics Education
The Relationship Between English Language Learners’ Mathematics Problem Solving Strategies And The Mathematics Register, Sarah Reeves Frederickson
The Relationship Between English Language Learners’ Mathematics Problem Solving Strategies And The Mathematics Register, Sarah Reeves Frederickson
Theses and Dissertations
This case study followed three Hispanic and three Marshallese students’ participation in a seventh grade prealgebra unit over the course of four weeks. Preassessment items indicated that the students had difficulty with aspects of the mathematics register. Their teacher employed an interpretation of the gradual release model of instruction in which direct strategies for translating word problems into equations with unknowns were modeled prior to students doing similar problems on their own. In these situations, students showed some success in solving similar problems. However, postassessment results indicated that none of the six students were able to successfully solve open response ...
Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge
Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge
Journal of Humanistic Mathematics
Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my sixyearold son move beyond zero in the negative direction when subtracting.
Parts Of The Whole: Logical Categories Of Learning: Why Teaching Qr Is Hard, Dorothy Wallace
Parts Of The Whole: Logical Categories Of Learning: Why Teaching Qr Is Hard, Dorothy Wallace
Numeracy
This column introduces the reader to an essay by anthropologist Gregory Bateson on the nature of learning. In that essay, he stratifies the learning process into categories based on what aspect of the student’s understanding is required to change in order to accomplish a given learning task. A discussion of the first three categories is followed here by examples from quantitative reasoning tasks and a further example from the ongoing discussion in the community of what numeracy entails. Bateson’s classification of learning into “logical categories” sheds light on what the goals of numeracy ask of both student and ...
Fragile Strength: Math SelfEfficacy Of High Achieving Girls, Tristan Tang
Fragile Strength: Math SelfEfficacy Of High Achieving Girls, Tristan Tang
Master of Science in Education  Master's Theses
Math gender gap research shows girls’ math selfefficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higherlevel mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter ...
The “Soft Bigotry Of Low Expectations” And Its Role In Maintaining White Supremacy Through Mathematics Education, Laurie Rubel, Andrea V. Mccloskey
The “Soft Bigotry Of Low Expectations” And Its Role In Maintaining White Supremacy Through Mathematics Education, Laurie Rubel, Andrea V. Mccloskey
Occasional Paper Series
In this study, we offer an analysis of the phrase the "soft bigotry of low expectations" and considers its role in rhetoric about U.S. mathematics education policy and practice, especially in regards to Critical Mathematical Inquiry. From the phrase’s origins in a speech given by President George W. Bush in 2000, to its current use on social media, this phrase offers a lens into white supremacy and "tools of whiteness" (Picower, 2009), and their persistence in U.S. schooling paradigms, especially about mathematics. We analyze specific, recent instantiations of the phrase on blogrolls and Twitter, in addition to ...
Collaboration And Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, And Agency, Frances K. Harper
Collaboration And Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, And Agency, Frances K. Harper
Occasional Paper Series
When faced with the challenge of supporting students to do the “messy” mathematical work necessary for exploring social justice problems through critical mathematical inquiry, teachers might rely on more procedural or direct instruction. Because how students learn matters as much as what they learn, this can inadvertently limit students’ engagement with mathematics. Instructional strategies designed to foster equitable collaboration can support critical mathematical inquiry by promoting norms for equitable student engagement and mathematics identity development. As teachers and students negotiate what counts as mathematics engagement and who has access to mathematics, students’ authority over mathematics and social justice issues increases.
Symmetry And Measuring: Ways To Teach The Foundations Of Mathematics Inspired By Yupiaq Elders, Jerry Lipka, Barbara Adams, Monica Wong, David Koester, Karen Francois
Symmetry And Measuring: Ways To Teach The Foundations Of Mathematics Inspired By Yupiaq Elders, Jerry Lipka, Barbara Adams, Monica Wong, David Koester, Karen Francois
Journal of Humanistic Mathematics
Evident in human prehistory and across immense cultural variation in human activities, symmetry has been perceived and utilized as an integrative and guiding principle. In our longterm collaborative work with Indigenous Knowledge holders, particularly Yupiaq Eskimos of Alaska and Carolinian Islanders in Micronesia, we were struck by the centrality of symmetry and measuring as a comparisonofquantities, and the practical and conceptual role of qukaq [center] and ayagneq [a place to begin]. They applied fundamental mathematical principles associated with symmetry and measuring in their everyday activities and in making artifacts. Inspired by their example, this paper explores the question: Could symmetry ...
The Mathematics Orientation Seminar: A Tool For Diversity And Retention In The First Year Of College, Salvatore J. Petrilli
The Mathematics Orientation Seminar: A Tool For Diversity And Retention In The First Year Of College, Salvatore J. Petrilli
Journal of Humanistic Mathematics
In this article I describe Adelphi University's Mathematics Orientation Seminar, a new course that was introduced into the mathematics major to help students find their passion in mathematics and to strengthen the educational community within our department. I discuss quantitative and qualitative results of surveys among students in the Mathematics Orientation Seminar in Fall 2016 and Fall 2017, which suggest that this might be a useful course for other institutions to utilize within any major. Finally, I explore faculty perspectives and describe what I believe to be the final version of this course.
Disciplinary Learning From An Authentic Engineering Context, Catherine Langman, Judith Zawojewski, Patricia Mcnicholas, Ali Cinar, Eric Brey, Mustafa Bilgic, Hamidreza Mehdizadeh
Disciplinary Learning From An Authentic Engineering Context, Catherine Langman, Judith Zawojewski, Patricia Mcnicholas, Ali Cinar, Eric Brey, Mustafa Bilgic, Hamidreza Mehdizadeh
Journal of PreCollege Engineering Education Research (JPEER)
This smallscale design study describes disciplinary learning in mathematical modeling and science from an authentic engineeringthemed module. Current research in tissue engineering served as source material for the module, including science content for readings and a mathematical modeling activity in which students work in small teams to design a model in response to a problem from a client. The design of the module was guided by wellestablished principles of modeleliciting activities (a special class of problemsolving activities deeply studied in mathematics education) and recently published implementation design principles, which emphasize the portability of modeleliciting activities to many classroom settings.
Two ...
Cross Faculty Collaboration In The Development Of An Integrated Mathematics And Science Initial Teacher Education Program, Sharon P. Fraser, Kim Beswick, Margaret Penson, Andrew Seen, Robert Whannell
Cross Faculty Collaboration In The Development Of An Integrated Mathematics And Science Initial Teacher Education Program, Sharon P. Fraser, Kim Beswick, Margaret Penson, Andrew Seen, Robert Whannell
Australian Journal of Teacher Education
This paper describes a collaborative project involving mathematicians, scientists and educators at an Australian university where an innovative initial teacher education (ITE) degree in mathematics/science was developed. The theoretical frameworks of identity theory and academic brokerage and their use in understanding the challenges associated with the early stages of collaborative projects is described. Data from reflections and interviews of the participants after involvement in the project from one to three years are presented to illustrate these challenges. The paper concludes with a description of the importance of the academic broker in overcoming identity challenges and facilitating cultural change for ...
Elementary Teachers' Definitions And Usage Of InquiryBased Mathematics Instruction, Heather Nunnally
Elementary Teachers' Definitions And Usage Of InquiryBased Mathematics Instruction, Heather Nunnally
Theses and Dissertations
Current educational leaders call for students to build his or her own mathematical understanding from experiences, coupled with feedback from peers, teachers, and themselves and gain a conceptual understanding of mathematics. Researchers agree that inquiry in the elementary mathematics classroom can help increase conceptual understanding.
This case study focused on how elementary teachers define inquirybased mathematics and implement it in their classrooms. Interviews, observations and lesson analysis were used to investigate what identities, relationships and activities look like in an elementary classroom that uses inquiry.
All of the participants felt "problem solving" and "working collaboratively" were essential for inquiry but ...
On "Icky" Data, The Political Classroom, And Towards Equity And Social Justice In Mathematics Education: A Conversation With Tonya Bartell, Samuel L. Tunstall, Oyemolade Osibodu, Tonya Gau Bartell
On "Icky" Data, The Political Classroom, And Towards Equity And Social Justice In Mathematics Education: A Conversation With Tonya Bartell, Samuel L. Tunstall, Oyemolade Osibodu, Tonya Gau Bartell
Numeracy
Tonya G. Bartell, ed. 2018. Towards Equity and Social Justice in Mathematics Education (Switzerland: Springer International Publishing) 341 pp. ISBN 9783319929064.
This brief interview with Tonya Bartell introduces Towards Equity and Social Justice in Mathematics Education to the Numeracy audience. The interviewers also discuss with Tonya connections between quantitative literacy and mathematics for social justice, particularly in the context of US K12 schooling. Tonya shares her perspective on topics ranging from the placement of quantitative literacy in K12 mathematics education and how one might get started in incorporating a social justice lens into their teaching to paradigms for research ...
Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner
Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner
Numeracy
Tonya Grau Bartell, editor. 2018.Toward Equity and Social Justice in Mathematics Education. (Cham, Switzerland: Springer International Publishing). 341 pp. ISBN 9783319929064 (also available as an ebook).
Toward Equity and Social Justice in Mathematics Education is a welcome addition to ongoing conversations about what mathematics should be taught and how it should be taught at both the college and precollege level. Although the primary audience for the volume will be math educators and researchers, readers of this journal will discover intersecting interests, concerns, and strategies.
Rural Teachers' Perceptions Of Collaboration And Professional Growth In Mathematics, Katherine M. Burns
Rural Teachers' Perceptions Of Collaboration And Professional Growth In Mathematics, Katherine M. Burns
University of the Pacific Theses and Dissertations
Teachers are a focal point in rural communities, building educational and cultural connections between the families and schools they serve on a daily basis. At the same time, geography and other constraints can impact rural teachers’ access to professional development and other resources. This mixed methods exploratory study focuses on a twoyear professional learning program that supported rural teachers’ (n=38) professional growth in mathematics and encouraged the development of a collaborative Community of Practice spanning 14 elementary school sites in four Northern California counties.
Research methods incorporated a secondary data analysis, as well as the collection of new data ...
A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire
A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire
Ron Buckmire
Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins
Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins
Electronic Theses and Dissertations
For the past few decades, researchers in mathematics education have been exploring the concept of pedagogical content knowledge (PCK)—or knowledge related to teaching content—and applying it to various areas of mathematics, such as algebra. Research related to teacher knowledge of algebra is critical because researchers (e.g., Hill, Rowan, & Ball, 2005) have found correlations between some types of teacher knowledge and student achievement in mathematics; students from around the world are outperforming U.S. students on international assessments of mathematics, including algebra (Organization for Economic Cooperation and Development, 2014, 2016); and algebra plays an integral role in the K12 mathematics curriculum in the U.S. (National Council of Teachers of Mathematics, 2000). Given this ...
How Teacher Questions Affect The Development Of A Potential Hybrid Space In A Classroom With Latina/O Students, Casandra Helen Job
How Teacher Questions Affect The Development Of A Potential Hybrid Space In A Classroom With Latina/O Students, Casandra Helen Job
Theses and Dissertations
Questions have been shown to aid in student understanding of mathematics, particularly "novel" questions (Mesa, Celis, & Lande, 2013) that do not have a predetermined answer. However, students do not always understand what is intended by questions posed by teachers, particularly those students who come from different cultural and lingual backgrounds than those dominant in the classroom discourse. This project investigated the relationship between how a mathematics teacher acknowledged students funds of knowledge in her questions and how Latina/o students responded. It shows some research based questioning techniques that allow Latina/o students greater opportunity to participate in the mathematical ...
Exploring Authenticity Through An EngineeringBased Context In A ProjectBased Learning Mathematics Activity, Bradley Bowen, Bryanne Peterson
Exploring Authenticity Through An EngineeringBased Context In A ProjectBased Learning Mathematics Activity, Bradley Bowen, Bryanne Peterson
Journal of PreCollege Engineering Education Research (JPEER)
As education works to reconnect student learning to something more than standardized testing, projectbased learning (PBL) has become a popular way to increase student engagement while providing more authentic applications of student knowledge. While research regarding PBL is bountiful, little has been done to connect this body of research with student perceptions regarding its classroom application, especially concerning authenticity and student engagement. This research focuses on the topic of ‘‘task authenticity’’ as a means to improve student outcomes. Two groups of seventhgrade students were presented the concept of slope and yintercept in the context of engineeringbased activities. The research ...
Actualizing The Rights Of The Learner: The Role Of Pedagogical Listening, Allison Hintz, Kersti Tyson, Andrea R. English
Actualizing The Rights Of The Learner: The Role Of Pedagogical Listening, Allison Hintz, Kersti Tyson, Andrea R. English
Democracy and Education
This response to Crystal KalinecCraig’s article on the Rights of the Learner (RotL) aims to take up and build on the author’s ideas about how the RotL framework can promote equitable mathematics teaching and learning. Specifically, this response examines how listening is implied in the work of teachers who support young mathematicians as they exercise their rights to be confused, claim mistakes, and say and write what makes sense. In doing so, we seek to highlight some of the opportunities and challenges that can emerge for teachers attempting to support all learners to actualize these rights.
The Demands Of The Rights Of The Learner, Elham Kazemi
The Demands Of The Rights Of The Learner, Elham Kazemi
Democracy and Education
In this response to KalenicCraig’s (2017) article, “The Rights of the Learner: A Framework For Promoting Equity through Dynamic Formative Assessment,” I consider what implications the RotL framework has for the work that teachers and students must do in learning environments where these rights flourish. The RoTL emphasizes student sensemaking and communication in the classroom. Given the realities of classrooms as racialized, gendered, and classed spaces, this emphasis on communication demands critical consciousness for both teachers and students.
Six Propositions Of A Social Theory Of Numeracy: Interpreting An Influential Theory Of Literacy, Jeffrey Craig, Lynette Guzmán
Six Propositions Of A Social Theory Of Numeracy: Interpreting An Influential Theory Of Literacy, Jeffrey Craig, Lynette Guzmán
Numeracy
We share our experiences comprehending social theory as it applies to numeracy scholarship. We build on existing arguments that social theory—explicitly acknowledging the presence and influence of histories, power, and purposes—offers something important to scholars who study and discuss numeracy. In this article, we translate the six propositions of one particular social theory of literacy into propositions about numeracy, then we explore the meaning of each proposition, its connections to existing scholarship, and its implications. This article emerges from two literature reviews: one on social theories (especially their application to and development in literacy) and one on numeracy ...
Teacher Graphing Practices For Linear Functions In A CovariationBased College Algebra Classroom, Konda Jo Luckau
Teacher Graphing Practices For Linear Functions In A CovariationBased College Algebra Classroom, Konda Jo Luckau
Theses and Dissertations
Graphing is a fundamental topic in algebra that is notoriously difficult for students. Much of the past research has focused on conceptions and misconceptions. This study extends past research by looking at the mathematical practices of a practitioner, specifically one instructor of a functionbased covariationfocused algebra class in the linear functions unit. Considering practices in addition to conception adds dramatically to our understanding of mathematical activity because it leads to explicit descriptions of normative purposes that are connected to particular situations or problems and also specifies how tools and symbols are coordinated to achieve these purposes. The results of this ...
Collaboration Among Mathematicians And Mathematics Educators: Working Together To Educate Preservice Teachers, Amanda R. Mohn
Collaboration Among Mathematicians And Mathematics Educators: Working Together To Educate Preservice Teachers, Amanda R. Mohn
Graduate Theses and Dissertations
Collaboration among higher education professors who are responsible for the education of preservice teachers is one potential solution to the problem of poor teacher preparation. Specifically, collaboration among mathematics educators and mathematicians can enhance preservice teacher preparation because it provides opportunities for preservice teachers to develop pedagogical content knowledge. However, collaborative efforts are challenging, and collaborators often face obstacles and tensions arise among the collaborative group members. Learning about ways the collaborators approach their collaborative efforts, the issues and tensions that arise, the hindering and supporting factors that affect the collaboration, and the potential outcomes of collaborative efforts provides information ...
“Indefensible, Illogical, And Unsupported”; Countering Deficit Mythologies About The Potential Of Students With Learning Disabilities In Mathematics, Rachel Lambert
Education Faculty Articles and Research
This paper describes two myths that circulate widely about the potential of students with Learning Disabilities to learn mathematics: (1) that students with Learning Disabilities cannot benefit from inquirybased instruction in mathematics, and only from explicit instruction; and (2) that students with Learning Disabilities cannot construct their own mathematical strategies and do not benefit from engaging with multiple strategies. In this paper, I will describe how these myths have developed, and identify research that counters these myths. I argue that these myths are the unintended consequences of deficit constructions of students with Learning Disabilities in educational research. Using neurodiversity to ...
Tinkering With Logo In An Elementary Mathematics Methods Course, Keri Duncan Valentine
Tinkering With Logo In An Elementary Mathematics Methods Course, Keri Duncan Valentine
Interdisciplinary Journal of ProblemBased Learning
With an increased push to integrate coding and computational literacy in K–12 learning environments, teacher educators will need to consider ways they might support preservice teachers (PSTs). This paper details a tinkering approach used to engage PSTs in thinking computationally as they worked with geometric concepts they will be expected to teach in K–5. Experiences programming in Logo to construct authentic artifacts in the form of twodimensional geometric graphics not only supported PSTs’ understanding of core geometric and spatial concepts, but also helped them to make connections between mathematics and computational literacy. Artifacts and discourse are discussed as ...
How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj
How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj
Educational Foundations and Research Faculty Publications
The link between reading and mathematics achievement is well known, and an important question is whether readability factors in mathematics problems are differentially impacting student groups. Using 20 years of data from the National Assessment of Educational Progress and the Trends in International Mathematics and Science Study, we examine how readability factors – such as length, word difficulty, and pronouns – interact with student background characteristics – such as race/ethnicity, mathematics achievement, and socioeconomic status. Textual features that make problems more difficult to process appear to differentially negatively impact struggling students, while features that make language easier to process appear to differentially ...
Parts Of The Whole: Hands On Statistics, Dorothy Wallace
Parts Of The Whole: Hands On Statistics, Dorothy Wallace
Numeracy
In this column we describe a handson data collection lab for an introductory statistics course. The exercise elicits issues of normality, sampling, and sample mean comparisons. Based on volcanology models of tephra dispersion, this lab leads students to question the accuracy of some assumptions made in the model, particularly regarding the normality of the dispersal of tephra of identical size in a given atmospheric layer.
Why I Believe People Need Painting By Numbers, Jason Makansi
Why I Believe People Need Painting By Numbers, Jason Makansi
Numeracy
Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 9780998425900.
This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale ...
Disrupting Dominant Discourses: A (Re)Introduction To Social Practice Theories Of Adult Numeracy, Helen M. Oughton
Disrupting Dominant Discourses: A (Re)Introduction To Social Practice Theories Of Adult Numeracy, Helen M. Oughton
Numeracy
The role of dominant discourse in constructing a deficit view of adult numeracy is examined, using reports from recent international surveys of adult skills as illustrative examples. Social practice theory is introduced as an alternative perspective for examining the ways adults actually use numeracy in their daily lives and work. This perspective suggests the test items used by largescale surveys such as PIACC are only proxies for reallife numeracy skills, and that performance in such tests may misrepresent the numeracy skills of adults. Instead, social practice theory suggests that adults may have informal, situated numeracy practices that serve them adequately ...
Calculus And Commutativity: An Investigation Of Student Thinking Regarding The Sequencing Of Mathematical Processes In Calculus, Laken Michelle Top
Calculus And Commutativity: An Investigation Of Student Thinking Regarding The Sequencing Of Mathematical Processes In Calculus, Laken Michelle Top
Mathematics Graduate Theses & Dissertations
Previous research has demonstrated that students enrolled in calculus courses continue to struggle with old algebra ideas along with new calculusspecific concepts. In this study we seek to investigate student thinking around the sequencing of mathematical processes (SMP) by examining student work in a onesemester university calculus course. Our results indicate that students enrolled at the calculus level continue to struggle with algebraic order of operations in addition to making new mistakes with respect to the commutativity of differentiation and other operations; these errors are often evidenced in student failure to apply the product, quotient, or chain rules. We examine ...